Identifying and writing sequences

A sequence is defined recursively by the formula

f(n + 1) = f(n) + 3

The first term in the sequence is -4. What is the second term in the sequence?

• -7

• -1

• 1

• 7

Find the next three terms: 1024, 768, 576, . . . .

• 432, 216, 108

• 384, 192, 0

• 432, 324, 243

• 320, 64, -192

Given the arithmetic sequence: 22, 17, 12, 7, . . . . What is the recursive formula that models the sequence?

• a₁ = 7

  a_n = a_n-1 − 5

• a₁ = 22

  a_n = a_n-1 − 5

• a₁ = 7

  a_n = a_n-1 + 5

• a₁ = 22

  a_n = a_n-1 + 5

Find the next three terms in the sequence: -33, -24, -15, -6, ...

• -1, 7, 15
• -5, 2, 9
• 3, 12, 21
• -65, -73, -81

The next three terms in the sequence 49, 44, 39, 34, 29, … are

-5, -1, 3, 7, 11
What is the recursive rule?

• Start with -1, then add 4 to find the next term

•  Start with -5, then add 4 to find the next term

• Start with -9, then add 4 to find the next term

• Start with 11, then subtract 4 to find the next term

Find the next term in the following sequence?

3, 2.5, 2, 1.5 ...

• 2

• 1

• 0.5

• 0.75

Find the value of the next term in the sequence.

28, 25, 22, 19, ______

17, 10, 3, -4, -11
What is the recursive rule?

• Start with 17, then subtract 7 to find the next term

• Start with 10, then subtract 7 to find the next term

• Start with -11, then add 7 to find the next term

• Start with 24, then subtract 7 to find the next term

Find the next two terms of the sequence:

405, 135, 45,...

• 15, 5

• 9, 3

• 15, 3

• -125, -395